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Finding the Fourth Proportional to 313,665.92, 432,810.24 and 186,338.24

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Solution

The fourth proportional to 313,665.92, 432,810.24 and 186,338.24 is: 257,117.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,665.92 : 432,810.24 = 186,338.24 : x
  2. Step 2: Convert to fraction form
    313,665.92/432,810.24 = 186,338.24/x
  3. Step 3: Cross multiply
    313,665.92x = 432,810.24 × 186,338.24
  4. Step 4: Simplify right side
    313,665.92x = 80,649,098,375.58
  5. Step 5: Solve for x
    x = 80,649,098,375.58/313,665.92
  6. Step 6: Final answer
    x = 257,117.82

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.